An excited ozone molecule, O3*, in the atmosphere can undergo one of the following reactions,

O3* → O3 (1) fluorescence
O3* → O + O2 (2) decomposition
O3* + M → O3 + M (3)deactivation,

where M is an inert molecule, the rate constant for the fluorescence reaction is k1, the rate constant for the decomposition reaction is k2, and the rate constant for the deactivation reaction is k3. Write a simplified expression for the fraction, X, of ozone molecules undergoing deactivation in terms of the rate constants. (Use the following as necessary: k1, k2, k3, cO for [O3*], and cM for [M].)

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